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66667440 = 2435725669
BaseRepresentation
bin1111111001010…
…0001110110000
311122110001112110
43332110032300
5114031324230
610340525320
71436443500
oct376241660
9148401473
1066667440
11346a5264
121a3b0840
1310a729b8
148bd5a00
155cbd4b0
hex3f943b0

66667440 has 120 divisors (see below), whose sum is σ = 240453360. Its totient is φ = 15235584.

The previous prime is 66667429. The next prime is 66667441. The reversal of 66667440 is 4476666.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (66667441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8926 + ... + 14594.

It is an arithmetic number, because the mean of its divisors is an integer number (2003778).

Almost surely, 266667440 is an apocalyptic number.

66667440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66667440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120226680).

66667440 is an abundant number, since it is smaller than the sum of its proper divisors (173785920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66667440 is a wasteful number, since it uses less digits than its factorization.

66667440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5699 (or 5686 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 66667440 is about 8165.0131659416. The cubic root of 66667440 is about 405.4817008887.

The spelling of 66667440 in words is "sixty-six million, six hundred sixty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 490 560 588 735 784 840 980 1176 1470 1680 1960 2352 2940 3920 5669 5880 11338 11760 17007 22676 28345 34014 39683 45352 56690 68028 79366 85035 90704 113380 119049 136056 158732 170070 198415 226760 238098 272112 277781 317464 340140 396830 453520 476196 555562 595245 634928 680280 793660 833343 952392 1111124 1190490 1360560 1388905 1587320 1666686 1904784 2222248 2380980 2777810 3174640 3333372 4166715 4444496 4761960 5555620 6666744 8333430 9523920 11111240 13333488 16666860 22222480 33333720 66667440